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Nonlinear Finite Element 2D Analysis for RC Beams Strengthened by Epoxy Bonded Steel Plates

Published online by Cambridge University Press:  05 May 2011

Wen-Shan Lin  and
Chen-Chang Kao
Wen-Shan Lin*
Affiliation:
Architecture & Building Reseach Institute, Ministry of Interior, Taipei, Taiwan 106, R.O.C.
Chen-Chang Kao*
Affiliation:
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Postdoctoral Researcher
**Professor Emeritus
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Abstract

This paper presents the nonlinear finite element modeling of the global behavior for RC beam strengthened by externally epoxy bonded steel plates up to failure. In addition to the consideration of nonlinear behavior and cracking of concrete, the model involves interface element to capture not only the shear and normal stress concentration at the plate curtailment, but also the separation due to the exceeded peak shear and normal stress. The internal steel bar using truss element and the external steel plate using deformation theory of plastic have been confirmed by compare finite element solution with plastic theory. The proposed finite element solutions result in close correlation with experimental data available for RC beams strengthened by epoxy bonded steel plates with different thickness.

Keywords

Nonlinear finite elementInterface elementStrengthened RC beam.
Type
Articles
Information
Journal of Mechanics , Volume 19 , Issue 4 , December 2003 , pp. 409 - 419
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2003

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References

REFERENCES

1.Swamy, R. N., Jones, R. and Charif, A., “The Effect of External Plate Reinforcement on the Strengthening of Structurally Damaged RC Beams,” Structural Engineer, 67(3), pp. 45–56 (1989).Google Scholar
2.Swamy, R. N., Jones, R. and Bloxham, J. W., “Structural Behavior of Reinforced Concrete Beams Strengthened by Epoxy-Bonded Steel Plates,” Structural Engineer, 65(2), pp. 59–68 (1987).Google Scholar
3.Ryback, M., “Reinforcement of Bridge by Gluing of Reinforcing Steel,” Materials and Structures, 16(91), pp. 13–17(1981).Google Scholar
4.Iino, T. and Otokawa, K., “Application of Epoxy Resins in Strengthening of Concrete Structures,” Proc. 3rd International Congress on Polymers in Concrete, Koriyama, Japan, pp. 997–1011 (1981).Google Scholar
5.Jones, R., Swamy, R. N. and Charif, A., “Plate Separation and Anchorage of Reinforced Concrete Beams Strengthened by Epoxy-Bonded Steel Plates,” Structural Engineer, 66(5), pp. 85–94 (1988).Google Scholar
6.Roberts, T. M., “Approximate Analysis of Shear and Normal Stress Concentrations in the Adhesive Layer of Plated RC Beams,” Structural Engineer, 67(12), pp. 229–233 (1989).Google Scholar
7.Raphael, J. M., “Tensile Strength of Concrete,” ACI Journal, 81(2), pp. 158–165 (1984).Google Scholar
8.Hillerborg, A., Modeer, M. and Petersson, P. E., “Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements,” Cement and Concrete Research, 6(6), pp. 773–781 (1976).CrossRefGoogle Scholar
9.Bergan, P. G. and Holand, L., “Nonlinear Finite Element Analysis of Concrete Structures,” Computer Methods Applied Mechanics Engineering, 17(2), pp. 443–467 (1979).Google Scholar
10.Ziraba, Y. N. and Baluch, M. H., “Computational Model for Reinforced Concrete Beams Strengthened by Epoxy Bonded Steel Plates,” Finite Element in Analysis and Design, 20(4), pp. 253–271 (1995).Google Scholar
11.Mphonde, A. G. and Frantz, G. G., “Shear Tests of High- and Low-Strength Concrete Beams without Stirrups,” ACI Journal, 81(4), pp. 350–357 (1984).Google Scholar
12.Fenwick, R. C. and Paulay, T., “Mechanics of Shear Resistance of Concrete Beams,” Journal of the Structural Division, 94(10), pp. 2325–2350 (1968).CrossRefGoogle Scholar
13.Cedolin, L. and Poli, S. D., “Finite Element Studies of Shear-Critical R/C Beams,” Journal of Engineering Mechanical Division, 103(3), pp. 395–410 (1977).CrossRefGoogle Scholar
14.Kupfer, H. and Gerstle, K. H., “Behavior of Concrete under Biaxial Stresses,” Journal of Engineering Mechanical Division, 99(4), pp. 853–866 (1973).CrossRefGoogle Scholar
15.Guo, Z. H., Guo, Y. T., Yan, X., Ye, X. G. and Li, W. H., “Nonlinear Elastic Orthotropic Constitutive Model for Concrete,” Journal of Tsinghua University, 37(6), pp. 78–81 (1997).Google Scholar
16.ACI Committee 363 “State-Of-The-Art Report on High Strength Concrete,” ACI Journal, 84(4), pp. 361–411 (1984).Google Scholar
17.Massicotee, B., Elwi, A. E. and MacGregor, J. C., “Tension-Stiffening Model for Planar Reinforced Concrete Member,” Journal of Structural Engineering, 116(11), pp. 3039–3058 (1990).Google Scholar
18.Vecchio, F. J. and Collins, M. P., “Modified Compression Field Theory for Reinforced Concrete Elements Subjected to Shear,” ACI Journal, 83(2), pp. 219–231 (1986).Google Scholar
19.Vecchio, F. J. and Collins, M. P., “Compression Response of Cracked Reinforced Concrete,” Journal of Structural Engineering, 119(12), pp. 3590–3610 (1993).CrossRefGoogle Scholar
20.Belarbi, A. and Hsu, T. C., “Constitutive Laws of Softened Concrete in Biaxial Tension-Compression,” ACI Structural Journal, 92(5), pp. 562–573 (1995).Google Scholar
21.Darwin, D. and Pecknold, D. A., “Nonlinear Biaxial Law for Concrete,” Journal of the Engineering Mechanics Division, 103(2), pp. 229–241 (1979).CrossRefGoogle Scholar
22.Lin, W. S., “Study on RC Structures Strengthened by External Steel Plates,” Ph.D. Dissertation, National Taiwan University, Taiwan (2002).Google Scholar
23.Ziraba, Y. N., Baluch, M. H., Basunbul, I. A., Azad, A. K., Al-Sulaimani, G. J. and Sharif, A. M., “Combined Experimental-Numerical Approach to Characterization of Steel-Glue-Concrete Interface,” Materials and Structures, 28, pp. 518–525 (1995).CrossRefGoogle Scholar
24.Jones, R., Swamy, R. N. and Ang, T. H., “Under- and Over-Reinforced Concrete Beams with Glued Steel Plates,” International Journal of Cement Composites and Lightweight Concrete, 4(1), pp. 19–32 (1982).CrossRefGoogle Scholar
25.Kupfer, H., Hilsdorf, H. K. and Rusch, H., “Behavior of Concrete under Biaxial Stresses,” ACI Journal, 66(9), pp. 656–666 (1969).Google Scholar
26.Tasuji, M. E., Slate, F. O. and Nilson, A. H., “Stress-Strain Response and Fracture of Concrete in Biaxial Loading,” ACI Journal, 75(7), pp. 306–312 (1978).Google Scholar
27.ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318 M-99) and Commentary (ACI 318 RM-99),” American Concrete Institute, Farmington Hills, p. 353 (1999).Google Scholar